\left\{ \begin{array} { l } { \frac { x y } { x + y } = \frac { 10 } { 7 } } \\ { \frac { y z } { y + z } = \frac { 40 } { 13 } } \\ { \frac { z x } { x + z } = \frac { 5 } { 8 } } \end{array} \right.
Selesaikan untuk x, y, z
x = \frac{80}{79} = 1\frac{1}{79} \approx 1.012658228
y = -\frac{80}{23} = -3\frac{11}{23} \approx -3.47826087
z = \frac{80}{49} = 1\frac{31}{49} \approx 1.632653061
Kongsi
Disalin ke papan klip
Contoh
Persamaan kuadratik
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
Persamaan linear
y = 3x + 4
Aritmetik
699 * 533
Matriks
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Persamaan serentak
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Pembezaan
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Pengamiran
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Had
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}